Calculate the number of molecules present in 22.0 g of `CO_(2)`.

Answer

To calculate the number of molecules present in 22.0 g of CO₂, we will follow these steps:

### Step 1: Calculate the Molar Mass of CO₂
- The molar mass of CO₂ can be calculated by adding the atomic masses of carbon (C) and oxygen (O).
- The atomic mass of carbon (C) is approximately 12 g/mol.
- The atomic mass of oxygen (O) is approximately 16 g/mol.
- Since CO₂ has one carbon atom and two oxygen atoms, the molar mass is calculated as follows:

\[ \text{Molar mass of CO₂} = 12 \, \text{g/mol} + 2 \times 16 \, \text{g/mol} = 12 \, \text{g/mol} + 32 \, \text{g/mol} = 44 \, \text{g/mol} \]

### Step 2: Use Avogadro's Number
- Avogadro's number (Nₐ) is \(6.022 \times 10^{23}\) molecules/mol. This means that 44 g of CO₂ contains \(6.022 \times 10^{23}\) molecules.

### Step 3: Calculate the Number of Molecules in 22.0 g of CO₂
- Since 44 g of CO₂ contains \(6.022 \times 10^{23}\) molecules, we can find the number of molecules in 22.0 g by using a proportion:

\[ \text{Number of molecules in 22.0 g} = \left(\frac{22.0 \, \text{g}}{44.0 \, \text{g}}\right) \times 6.022 \times 10^{23} \, \text{molecules} \]

- Simplifying this gives:

\[ \text{Number of molecules in 22.0 g} = \left(\frac{1}{2}\right) \times 6.022 \times 10^{23} \, \text{molecules} = 3.011 \times 10^{23} \, \text{molecules} \]

### Final Answer
The number of molecules present in 22.0 g of CO₂ is \(3.011 \times 10^{23}\) molecules.

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